Can Non-Newtonian Fluids Predict Pole (De)acceleration in Oobleck?

In summary, the conversation discusses the possibility of modeling the acceleration of a pole dropped onto a non-Newtonian fluid, specifically oobleck. The density and viscosity of the oobleck are known, as well as the dimensions of the container. However, finding an analytical solution for the (de)acceleration of the pole may be complicated and require computational methods due to the complexity of the problem.
  • #1
eisenstein
1
0
Here is the problem.

I drop a pole (say length L, mass M, radius R) on a non-Newtonian fluid (corn starch and water) with impact velocity v. The density and viscosity of the oobleck is known, and I know the dimensions of the oobleck container (a square box of length S filled up to height H, so the volume is H*S*S). I want to model the (de)acceleration of the pole as a function of v. Is this possible?
 
Physics news on Phys.org
  • #2
The viscosity is known as a function of shear stress? If so, it's possible, but it is a pretty complicated problem, and I doubt an analytical solution is available (computational methods would be required).
 

1. What is a Non-Newtonian fluid?

A Non-Newtonian fluid is a type of fluid that does not follow the basic principles of Newtonian fluid behavior, such as having a constant viscosity (resistance to flow). These fluids can exhibit different viscosities depending on the amount of stress or force applied to them. Examples of Non-Newtonian fluids include ketchup, toothpaste, and blood.

2. How is Non-Newtonian fluid behavior different from Newtonian fluid behavior?

Newtonian fluids have a constant viscosity, meaning the resistance to flow remains the same regardless of the force applied. Non-Newtonian fluids, on the other hand, have a variable viscosity, meaning the resistance to flow changes depending on the amount of force applied. Non-Newtonian fluids can also exhibit shear-thinning or shear-thickening behavior, where the viscosity decreases or increases, respectively, as the shear rate (force per unit area) increases.

3. Why is it important to model Non-Newtonian fluids?

Non-Newtonian fluid modeling is important because these fluids are commonly found in many everyday products and industrial processes. Understanding and accurately predicting their behavior is crucial for product development, quality control, and process optimization. Non-Newtonian fluid modeling is also used in various scientific fields such as medicine, food science, and materials engineering.

4. What are the challenges of modeling Non-Newtonian fluids?

One of the main challenges in modeling Non-Newtonian fluids is accurately capturing their complex rheological behavior. Non-Newtonian fluids can exhibit different types of flow (e.g. laminar, turbulent, viscoelastic), and their properties can vary depending on factors such as temperature, pressure, and composition. Additionally, Non-Newtonian fluids may have non-linear relationships between stress and strain, making it difficult to use traditional mathematical models.

5. What are some common methods used for modeling Non-Newtonian fluids?

There are various methods used for modeling Non-Newtonian fluids, including analytical, empirical, and numerical approaches. Analytical methods use mathematical equations to describe the fluid behavior, while empirical methods rely on experimental data to create a model. Numerical methods, such as computational fluid dynamics (CFD), use computer simulations to solve the governing equations of fluid flow and can account for complex fluid behavior. Each method has its advantages and limitations, and the choice of method depends on the specific application and the type of Non-Newtonian fluid being modeled.

Similar threads

Non Newtonian / Newtonian Fluid interface
    • Mechanics
Replies
5
Views
1K
Non-Newtonian Fluid as MMOD and Radiation Protection?
    • Mechanical Engineering
Replies
2
Views
2K
How can we prevent clogging in a drum dryer used for drying liquid digestate?
    • Mechanical Engineering
Replies
9
Views
1K
Double experiment: "Falling ball viscometry" and viscous flow in an horizontal pipe
    • Engineering and Comp Sci Homework Help
Replies
31
Views
1K
HVAC Understanding the movement of a fluid in a vertical pipe
    • DIY Projects
Replies
10
Views
4K
A Non-isothermal conditions in liquid-gas nitrogen homogeneous mixture
    • Thermodynamics
Replies
1
Views
644
Fluid Mechanics, Particle Size, Bouyouncy Force
    • Introductory Physics Homework Help
Replies
16
Views
2K
How Does Bernoulli's Equation Explain Fluid Dynamics?
    • Mechanics
Replies
1
Views
7K
I Fragmentation of a drop in a miscible fluid
    • Classical Physics
Replies
2
Views
720
Definition of Pressure: Force, Work Done, & Mechanical Energy
    • Mechanics
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top